Aiming at the lack of diversity in the particle filtering algorithm for fatigue crack life prediction, a method for prediction of fatigue crack propagation based on auxiliary particle filtering and structural health monitoring was proposed. Firstly, Paris rule of crack propagation was combined with the finite element method to build the state equation of crack propagation. Secondly, the active Lamb wave health monitoring technique was used to monitor the process of fatigue crack propagation. The time delay damage index was used to process Lamb wave signals, and then fit the function relation between crack length and damage index, the observation equation of crack propagation was established. The state space model for crack propagation was built through combining state equations and observation equations. Finally, the life prediction of hole-edge crack propagation was realized using the auxiliary particle filtering and the standard particle filtering, respectively. The comparison of the prediction results showed that the auxiliary particle filtering in fatigue crack propagation prediction of complex structures can effectively mitigate the lack of particle diversity combining the latest observation; its prediction results are more accurate; it is more applicable for realizing complex structures’ online fatigue life prediction.
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